Displaying similar documents to “Translation averages of dyadic weights are not always good weights.”

Dyadic BMO on the bidisk.

Oscar Blanco, Sandra Pott (2005)

Revista Matemática Iberoamericana

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We give several new characterizations of the dual of the dyadic Hardy space H(T), the so-called dyadic BMO space in two variables and denoted BMO . These include characterizations in terms of Haar multipliers, in terms of the "symmetrised paraproduct" Λ, in terms of the rectangular BMO norms of the iterated "sweeps", and in terms of nested commutators with dyadic martingale transforms. We further explore the connection between BMO and John-Nirenberg type...

Multipliers and weighted ∂ operator estimates.

Joaquim Ortega-Cerdà (2002)

Revista Matemática Iberoamericana

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We study estimates for the solution of the equation du=f in one variable. The new ingredient is the use of holomorphic functions with precise growth restrictions in the construction of explicit solution to the equation.